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Finding the Fourth Proportional to 131,956.65, 197,932.21 and 32,117.40

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Solution

The fourth proportional to 131,956.65, 197,932.21 and 32,117.40 is: 48,175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,956.65 : 197,932.21 = 32,117.40 : x
  2. Step 2: Convert to fraction form
    131,956.65/197,932.21 = 32,117.40/x
  3. Step 3: Cross multiply
    131,956.65x = 197,932.21 × 32,117.40
  4. Step 4: Simplify right side
    131,956.65x = 6,357,067,800.87
  5. Step 5: Solve for x
    x = 6,357,067,800.87/131,956.65
  6. Step 6: Final answer
    x = 48,175.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.